Mathematics / Year 4 / Number

Version 9
Switch to version 8
View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems using number sentences and choose efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation (AC9M4N08)

Elaborations
  • modelling and solving a range of practical additive problems using materials, part-part-whole diagrams and/or a bar model, and writing addition and/or subtraction number sentences, based on whether a part or the whole is missing; explaining how each number in their number sentence is connected to the situation
  • modelling practical problems with division, interpreting and representing the situation using a diagram or array to represent what is unknown (the number of groups, or the number per group); writing a division number sentence to represent the situation and choosing an efficient calculation strategy
  • modelling practical problems involving money, such as a budget for a large event, as requiring either addition, subtraction, multiplication or division and justifying the choice of operation in relation to the situation
  • modelling and solving multiplication problems involving money, such as buying \(5\) toy scooters for \(\$96\) each, using efficient mental strategies and written jottings to keep track if needed; for example, rounding \(\$96\) up to \(\$100\) and subtracting \(5 \times\$4 = \$20\), so \(5 \times\$96\) is the same as \(5\times\$100\) less \(\$20\), giving the answer \(\$500 \space–\space \$20 = \$480\)
  • modelling situations by formulating comparison problems using number sentences, comparison models and arrays; for example, “Ariana read \(16\) books for the readathon; Maryam read \(4\) times as many books. How many books did Maryam read?” using the expression \(4 \times 16\) and using place value partitioning, basic facts and an array, thinking \(4 \times 10 = 40\) and \(4 \times 6 = 24\), so \(4 \times 16\) can be written as \(40 + 24 = 64\)
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Personal finance,  Problem solving,  Addition,  Mathematical problem solving,  Multiplication,  Subtraction,  Division,  Proportions

Refine by resource type

Refine by year level


Refine by learning area


Refine by topic

Related topic
  • No suggestions

5 direct matches to AC9M4N08 | 15 other related resources
Showing the top 20 search results

Text

Inquiry Prompt Ribbon Bow - Calculate

  • TLF-IDA004340

This open-ended task challenges students to carry out a mathematical investigation using a ribbon-bow as a stimulus. They are encouraged to develop their own research questions and investigate possible solutions using using mathematical problem solving and modelling strategies.

View detailsView resource
Interactive

Moon Goats (Geometric reasoning) - ABC Education

  • TLF-IDA005645

As a team, use your understanding of geometric reasoning to transform two-dimensional floor plans into three-dimensional pod houses. See how many unique houses you can build for the Moon Goats. Then, try the Budget Challenge to calculate the cost of different types of houses. Mathematical ideas and strategies this game ...

View detailsView resource
Text

Pocket money: Mathematical modelling

  • TLF-IDA004925

In this lesson, students use mathematical modelling to solve problems that involve financial decisions. Students are guided to use the 4-step problem solving model to support them to unpack the problem, generate a plan to help solve it, and check their ability to work mathematically. They explore different ways to estimate ...

View detailsView resource
Text

reSolve: Multiplication - The Tiler

  • TLF-IDM025301

This task explores arrays through the context of a tiling a courtyard. Students are given the total cost of tiling a courtyard and use this to calculate the price for individual tiles. They then explore the cost of different tiling designs to determine if one is cheaper than another. Each lesson is outlined in detail including ...

View detailsView resource
Interactive

My American farm: app for iPad

  • TLF-IDM016810

This iPad app contains a selection of games with an agricultural theme. At the conclusion of the activities, fun farm facts or information are provided (some of these facts can be read aloud by selecting a volume icon). The games encompass a range of things important to farming life including farming equipment, careers ...

View detailsView resource
Text

reSolve: Multiplication - Cartesian Product

  • TLF-IDM025300

This sequence of two lessons introduces the idea of multiplication as a Cartesian product, using the language of 'for each'. Students learn to use a tree diagram to find the number of possible combinations that can be made in an animal mix and match book. They learn how a simpler problem can be used to help solve a larger, ...

View detailsView resource
Text

reSolve: Algebra: Triangle Inequality

  • TLF-IDM021835

This sequence of two lessons explores the triangle inequality theorem. Students are challenged to construct triangles with a given number of matchsticks, explore and record what combinations of sticks can create valid triangles and represent their findings using mathematical expressions. Each lesson is outlined in detail ...

View detailsView resource
Text

reSolve: Authentic Problems: Expanded Square

  • TLF-IDM024876

This sequence of four lessons explores concepts around informal area and symmetry. Students design an 'expanded square' where approximately half the area of the original square is flipped to the outside. The lessons provide opportunities for students to devise and use methods to informally measure area, record their mathematical ...

View detailsView resource
Text

reSolve: Multiplication: Trays of Arrays

  • TLF-IDA004853

This sequence of 7 tasks uses the array to explore the distributive and associative properties of multiplication. Students use different strategies to calculate the number of items in arrays, and use mathematical reasoning to explain which strategies are the most useful. Students learn to use the distributive property to ...

View detailsView resource
Text

reSolve: Algebra: Chess - The King

  • TLF-IDM021832

This lesson aims to build students' algebraic reasoning and understanding of number as they explore computation on the number chart. Students explore the moves of a king chess piece and how the value of the numbers change as he moves. This builds into an algebraic exploration of equivalent values that can be found on the ...

View detailsView resource
Text

reSolve: Authentic Problems: 10000 Centicubes

  • TLF-IDM024883

This sequence of four lessons integrates content in number and measurement to deepen students' understanding and confidence working with larger numbers. Students work flexibly with numbers up to 10 000 as they determine suitable dimensions for a container that can hold 10 000 centicubes. They are challenged to plan, construct ...

View detailsView resource
Text

reSolve: Algebra: Odds and Evens

  • TLF-IDM021833

This sequence of two lessons focuses on developing students' understanding of the properties of odd and even numbers. Students explore the results of adding and subtracting odd and even numbers and use these results to make generalisations. They then apply this generalisation to solve problems and to explore patterns. The ...

View detailsView resource
Text

reSolve: Number: Counting your odds and evens

  • TLF-IDA010189

In this sequence of three tasks, students navigate, design, and analyse number mazes to investigate why some paths always give an odd total and others don’t, building towards a general explanation of how odd and even numbers behave when added. Key learning goals, assessment advice, pedagogical tools and illustrations of ...

View detailsView resource
Video

Fractions in the real world

  • TLF-IDM020296

How many quarters make up a whole? Watch this video to find out how else you can represent 2/4 and how to add up quarters to make a whole.

View detailsView resource
Video

BTN: What is an abacus?

  • TLF-IDM021154

An abacus is a tool that helps people solve maths problems. Why might some people still use, and encourage the use of, an abacus when there are more contemporary tools like calculators?

View detailsView resource
Video

For the Juniors: Drawing a floor plan

  • TLF-IDM015824

How do we know what a house will look like before it is built? Discover how house plans work by looking at the design of a house that Hugo's family is going to build. See how a floor plan shows the room layout. See drawings of what the house will look like from different views.

View detailsView resource
Interactive

Decimal currency videos

  • TLF-IDM024872

This collection of videos from the Royal Australian Mint provides a series of brief descriptions of the transition from pre-decimal to decimal currency in Australia and how coins are made in a mint

View detailsView resource
Video

MathXplosion, Ep 2: Double that number

  • TLF-IDM024944

Explore an age-old multiplication method that repeatedly doubles numbers to get a product. Learn how this ancient method of multiplication is similar to that used by modern computers.

View detailsView resource
Video

What is a fractal?

  • TLF-IDM021126

Do you know what a fractal is? Basically, fractals are never-ending patterns created by repeated mathematical equations. In this clip, Yuliya, a student at MIT (in the USA) describes the properties of fractals and shows you where they can be found in technology and nature. Have a good look at the world around you and see ...

View detailsView resource
Interactive

Kitchen gardens – sustainability action process (Years 3–6)

  • TLF-IDM020972

This resource guides students through an extended school-based or local investigation focussed on kitchen gardens using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate and ...

View detailsView resource